The moments method for multi‐modal multi‐component aerosols as applied to the coagulation‐type equation
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Bibliographic record
Abstract
Abstract The idea of self‐preserving functions as solutions to a coagulation‐type equation for aerosol is investigated. The aerosol spectrum is assumed to be well represented by a finite but not limited sum of self‐preserving functions (modes). An original set of aerosol dynamics equations for an unlimited number of modes is formulated for self‐preserving functions in the form of the log‐normal distribution, gamma distribution and Laguerre expansion. Additional equations governing the composition of the aerosol are derived. The system of the obtained ordinary integro–differential equations is solved using the Runge–Kutta method with Gaussian quadratures to estimate integrals. The solutions are then successfully tested against direct high resolution numerical solutions of the coagulation‐type equation. Some physical examples illustrating the use of the developed numerical method are also presented. Copyright © 2007 Royal Meteorological Society
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.004 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.001 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it